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13142223132 = 22329137275657
BaseRepresentation
bin11000011110101011…
…00110100100011100
31020220220102002220220
430033111212210130
5203403402120012
610012031241340
7643451024223
oct141725464434
936826362826
1013142223132
115634495835
122669379250
1313159a9bbc
148c95cbcba
1551db9708c
hex30f56691c

13142223132 has 48 divisors (see below), whose sum is σ = 31954275360. Its totient is φ = 4198792192.

The previous prime is 13142223131. The next prime is 13142223137. The reversal of 13142223132 is 23132224131.

13142223132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13142223131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90153 + ... + 185504.

It is an arithmetic number, because the mean of its divisors is an integer number (665714070).

Almost surely, 213142223132 is an apocalyptic number.

13142223132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13142223132 is an abundant number, since it is smaller than the sum of its proper divisors (18812052228).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13142223132 is a wasteful number, since it uses less digits than its factorization.

13142223132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275830 (or 275828 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

Adding to 13142223132 its reverse (23132224131), we get a palindrome (36274447263).

Subtracting 13142223132 from its reverse (23132224131), we obtain a palindrome (9990000999).

The spelling of 13142223132 in words is "thirteen billion, one hundred forty-two million, two hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 137 174 274 348 411 548 822 1644 3973 7946 11919 15892 23838 47676 275657 551314 826971 1102628 1653942 3307884 7994053 15988106 23982159 31976212 37765009 47964318 75530018 95928636 113295027 151060036 226590054 453180108 1095185261 2190370522 3285555783 4380741044 6571111566 13142223132